Partial islands and subregion complexity in geometric secret-sharing model

A bstract We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the “complexity = volume” proposal. The model is constructed using multiboundary wormhole geometries in AdS 3 . The entanglement curve for secret-sharing cap...

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Published in:The journal of high energy physics 2021-12, Vol.2021 (12), p.1-25, Article 91
Main Authors: Bhattacharya, Aranya, Bhattacharyya, Arpan, Nandy, Pratik, Patra, Ayan K.
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black Holes
Black Holes in String Theory
Classical and Quantum Gravitation
Complexity
Curves
Elementary Particles
Entanglement
Hawking radiation
High energy physics
Minimal surfaces
Models of Quantum Gravity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radiation
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subsystems
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Summary:A bstract We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the “complexity = volume” proposal. The model is constructed using multiboundary wormhole geometries in AdS 3 . The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their “time” evolution. When we have access to a small part of the radiation, the complexity shows a jump at the secret-sharing time larger than the Page time. Moreover, the minimal surfaces do not have access to the entire island region for this particular case. They can only access it partially. We describe this inaccessibility in the context of “classical” Markov recovery.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2021)091